Answer:
x = 300 feet
Step-by-step explanation:
In the given right triangle,
Length of the string of the kite = 324 feet
Angle between the string and the ground = 68°
By applying law of Sines in the given right triangle,
[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}[/tex]
Now we substitute the values of angles and sides in the formula,
[tex]\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}[/tex]
[tex]\frac{\text{Sin68}}{x}=\frac{1}{324}[/tex]
x = 324 × Sin(68)°
x = 300.41 feet
x ≈ 300 feet
Therefore, measure of side x = 300 feet will be the answer.